Reduction of friction by normal oscillations. II. In-plane system dynamics

Xinyu MAO; Valentin L. POPOV; Jasminka STARCEVIC; Mikhail POPOV

doi:10.1007/s40544-017-0146-x

Friction 2017, 5(2): 194-206 https://doi.org/10.1007/s40544-017-0146-x

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Open Access | Issue | Published: 20 April 2017

Reduction of friction by normal oscillations. II. In-plane system dynamics

Show Author's Information Hide Author's Information Xinyu MAO^{¹^,²}, Valentin L. POPOV^{¹^,³^,⁴}(

), Jasminka STARCEVIC^{¹^,⁴}, Mikhail POPOV^{¹^,³^,⁴}

¹ Technische Universität Berlin, Berlin 10623, Germany

² Tsinghua University, Beijing 100084, China

³ Tomsk Polytechnic University, Tomsk 634050, Russia

⁴ Tomsk State University, Tomsk 634050, Russia

Keywords:

sliding friction, out-of-plane oscillation, stiffness, system dynamics, macroscopic friction coefficient

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MAO X, POPOV VL, STARCEVIC J, et al. Reduction of friction by normal oscillations. II. In-plane system dynamics. Friction, 2017, 5(2): 194-206. https://doi.org/10.1007/s40544-017-0146-x

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Abstract

The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g., pin-on-disk tribometers. However, existing theoretical models have yet achieved only qualitative correspondence with experiment. Here we argue that this may be due to the system dynamics (mass and tangential stiffness) of the pin or other system components being neglected. This paper builds on the results of a previous study [19] by taking the stiffness and resulting dynamics of the system into account. The main governing parameters determining macroscopic friction, including a dimensionless oscillation amplitude, a dimensionless sliding velocity and the relation between three characteristic frequencies (that of externally excited oscillation and two natural oscillation frequencies associated with the contact stiffness and the system stiffness) are identified. In the limiting cases of a very soft system and a very stiff system, our results reproduce the results of previous studies. In between these two limiting cases there is also a resonant case, which is studied here for the first time. The resonant case is notable in that it lacks a critical sliding velocity, above which oscillations no longer reduce friction. Results obtained for the resonant case are qualitatively supported by experiments.

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Reduction of friction by normal oscillations. II. In-plane system dynamics

Show Author's information Hide Author's Information Xinyu MAO^{¹^,²}, Valentin L. POPOV^{¹^,³^,⁴}(

), Jasminka STARCEVIC^{¹^,⁴}, Mikhail POPOV^{¹^,³^,⁴}

¹ Technische Universität Berlin, Berlin 10623, Germany

² Tsinghua University, Beijing 100084, China

³ Tomsk Polytechnic University, Tomsk 634050, Russia

⁴ Tomsk State University, Tomsk 634050, Russia

Abstract

Keywords: sliding friction, out-of-plane oscillation, stiffness, system dynamics, macroscopic friction coefficient

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Acknowledgements

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Publication history

Received: 31 August 2016

Revised: 24 December 2016

Accepted: 11 January 2017

Published: 20 April 2017

Issue date: June 2017

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Acknowledgements

The authors would like to thank Juliane Wallendorf and Qiang Li for their help with preparing figures for the paper. This work was supported in part by Tomsk State University Academic D.I. Mendeleev Fund Program (No. 8.2.19.2015).

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